A color-blind man throws once two dice that seem identical to him. Construct the sample space S of this random experiment. Then, calculate and sketch the probability mass or density function (p. m.f. or pdf whichever appropriate) and the cumulative distribution function (CDF) of this process. A second person with proper color vision is also observing the throw. As this second person can verify the dice are actually not identical: one is green and one is orange. Required:
Repeat the exercise to reflect the point of view of the second person. Finally, identify the differences and similarities of the two viewpoints; explain.